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Computer Research and Modeling, 2011, Volume 3, Issue 4, Pages 389–412 (Mi crm566)  

This article is cited in 2 scientific papers (total in 2 papers)

MODELS IN PHYSICS AND TECHNOLOGY

Numerical study of traffic flows by the hydrodynamic models

I. I. Morozov, A. V. Gasnikov, V. N. Tarasov, Ya. A. Kholodov, A. S. Kholodov

Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow region, 141700, Russia

Abstract: The purpose of this paper is to generalize the macroscopic hydrodynamic vehicular traffic models by using the algorithm for constructing the adequate state equation — dependence the pressure from traffic density by taking into account the real experimental data (possibly using the parametric solutions for model equations). It is proved that this kind of state equation which closed model equations system and obtained from the experimentally observed form of the fundamental diagram — dependence the traffic intensity from its density, completely determines the all properties of the used phenomenological model.

Keywords: vehicular traffic, the state equation, hyperbolic equation systems, traffic flows, phenomenological models.

Funding Agency Grant Number
Russian Foundation for Basic Research 10-07-00620
11-01-00494


DOI: https://doi.org/10.20537/2076-7633-2011-3-4-389-412

Full text: PDF file (1732 kB)
Full text: http://crm.ics.org.ru/.../1828
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UDC: 519.6
Received: 23.11.2011

Citation: I. I. Morozov, A. V. Gasnikov, V. N. Tarasov, Ya. A. Kholodov, A. S. Kholodov, “Numerical study of traffic flows by the hydrodynamic models”, Computer Research and Modeling, 3:4 (2011), 389–412

Citation in format AMSBIB
\Bibitem{MorGasTar11}
\by I.~I.~Morozov, A.~V.~Gasnikov, V.~N.~Tarasov, Ya.~A.~Kholodov, A.~S.~Kholodov
\paper Numerical study of traffic flows by the hydrodynamic models
\jour Computer Research and Modeling
\yr 2011
\vol 3
\issue 4
\pages 389--412
\mathnet{http://mi.mathnet.ru/crm566}
\crossref{https://doi.org/10.20537/2076-7633-2011-3-4-389-412}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. L. Slovokhotov, “Fizika i sotsiofizika. Ch. 3. Kvazifizicheskoe modelirovanie v sotsiologii i politologii. Nekotorye modeli lingvistiki, demografii, matematicheskoi istorii”, Probl. upravl., 3 (2012), 2–34  mathnet
    2. Ya. A. Kholodov, A. E. Alekseenko, M. O. Vasilev, A. S. Kholodov, “Postroenie matematicheskoi modeli dorozhnogo perekrestka na osnove gidrodinamicheskogo podkhoda”, Kompyuternye issledovaniya i modelirovanie, 6:4 (2014), 503–522  mathnet  crossref
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